3238180208640 has 1680 divisors, whose sum is σ = 12972237202848. Its totient is φ = 770527199232.

The previous prime is 3238180208621. The next prime is 3238180208693. The reversal of 3238180208640 is 468020818323.

3238180208640 is a `hidden beast` number, since 3 + 2 + 381 + 8 + 0 + 208 + 64 + 0 = 666.

It is a super-3 number, since 3×3238180208640³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33383301072 + ... + 33383301168.

Almost surely, 2^{3238180208640} is an apocalyptic number.

3238180208640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3238180208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486118601424).

3238180208640 is an abundant number, since it is smaller than the sum of its proper divisors (9734056994208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3238180208640 is an frugal number, since it uses more digits than its factorization.

3238180208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3238180208640 in words is "three trillion, two hundred thirty-eight billion, one hundred eighty million, two hundred eight thousand, six hundred forty".